Generally, we use Neumann boundary condition in our predator-prey reaction diffusion system so that neither the species can enter nor go outside but what about Robin??
When you use Robin boundary conditions you assume that the boundary is reactive and that the species can be absorbed with the rate proportional to their concentration. The general form of such a condition can be written in 1-D as follows
D (Dr/dx)(0,t)= K f(0,t)
( f is the concentration, D is the diffusion coefficient and K describes reactivity)
In terms of the biology behind this form of boundary conditions, we can offer several explanations; the simplest is that the boundary is an un-survivable region due to lack of nutrients or chemical properties of the surface.
When you use Robin boundary conditions you assume that the boundary is reactive and that the species can be absorbed with the rate proportional to their concentration. The general form of such a condition can be written in 1-D as follows
D (Dr/dx)(0,t)= K f(0,t)
( f is the concentration, D is the diffusion coefficient and K describes reactivity)
In terms of the biology behind this form of boundary conditions, we can offer several explanations; the simplest is that the boundary is an un-survivable region due to lack of nutrients or chemical properties of the surface.
The Robin boundary condition is, in many contexts, written as a linear combination of Dirichlet and Neumann, to contain both r(0,t) and dr/dt(0,t).
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